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Finding the Third Proportional to 562,213.13 and 1,229,277.38

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Solution

The third proportional to 562,213.13 and 1,229,277.38 is: 2,687,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,213.13 : 1,229,277.38 = 1,229,277.38 : x
  2. Step 2: Convert to fraction form
    562,213.13/1,229,277.38 = 1,229,277.38/x
  3. Step 3: Cross multiply
    562,213.13x = 1,229,277.38 × 1,229,277.38
  4. Step 4: Simplify right side
    562,213.13x = 1,511,122,864,686.89
  5. Step 5: Solve for x
    x = 1,511,122,864,686.89/562,213.13
  6. Step 6: Final answer
    x = 2,687,811.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.